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How can you approximate an irrational number? - Answers

There is a whole branch of mathematics that deals with the question and it is not possible to answer the question wholly here. For some irrationals, such as roots of polynomials, it is often simple to use the Newton-Raphson method. For other irrationals, such as e, or pi or phi, there are convergent series that can be used. For example, e = 1 + 1/1! + 1/2! + 1/3! + 1/4! + ... The sum of the first 5 ters is accurate to 99.6%. or pi = 4/1 - 4/3 + 4/5 - 4/7 + ... This series is excruciatingly slow but there are much faster alternatives.



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How can you approximate an irrational number? - Answers

https://math.answers.com/math-and-arithmetic/How_can_you_approximate_an_irrational_number

There is a whole branch of mathematics that deals with the question and it is not possible to answer the question wholly here. For some irrationals, such as roots of polynomials, it is often simple to use the Newton-Raphson method. For other irrationals, such as e, or pi or phi, there are convergent series that can be used. For example, e = 1 + 1/1! + 1/2! + 1/3! + 1/4! + ... The sum of the first 5 ters is accurate to 99.6%. or pi = 4/1 - 4/3 + 4/5 - 4/7 + ... This series is excruciatingly slow but there are much faster alternatives.



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https://math.answers.com/math-and-arithmetic/How_can_you_approximate_an_irrational_number

How can you approximate an irrational number? - Answers

There is a whole branch of mathematics that deals with the question and it is not possible to answer the question wholly here. For some irrationals, such as roots of polynomials, it is often simple to use the Newton-Raphson method. For other irrationals, such as e, or pi or phi, there are convergent series that can be used. For example, e = 1 + 1/1! + 1/2! + 1/3! + 1/4! + ... The sum of the first 5 ters is accurate to 99.6%. or pi = 4/1 - 4/3 + 4/5 - 4/7 + ... This series is excruciatingly slow but there are much faster alternatives.

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      There is a whole branch of mathematics that deals with the question and it is not possible to answer the question wholly here. For some irrationals, such as roots of polynomials, it is often simple to use the Newton-Raphson method. For other irrationals, such as e, or pi or phi, there are convergent series that can be used. For example, e = 1 + 1/1! + 1/2! + 1/3! + 1/4! + ... The sum of the first 5 ters is accurate to 99.6%. or pi = 4/1 - 4/3 + 4/5 - 4/7 + ... This series is excruciatingly slow but there are much faster alternatives.

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